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Question

How to solve this?

There are 85 plates of fried noodles for 80 people. Each adult eats 2 plates of fried noodles and every 3 children share 1 plate of fried noodles. How many adults and how many children are there?

Answer

number of (adults + children) ——- 80
number of adults x 2 + [(80 – number of adults)/3] x 1 ——- 85
6 x number of adults + (80 – number of adults) ——- 85 x 3 = 255
number of adults ——- (255 – 80)/5 = 35
80 – 35 = 45 (children)

Ans : 35 adults and 45 children.

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Let adults is X and Child is Y

X:Y = 80

Total Plates: 85

Ratio:

2X :: Y/3 => 85

X::Y = 80 => 2X::2Y = 160

This can be solved as 2Y – Y/3 = 75

Y = 45

No. of children: 45

No. of adults = 35

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nice one

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Hope this helps.

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